Question

If $\frac{52}{x}=\sqrt{\frac{169}{289}}$, find the value of x.

• A. 68
• B. 62
• C. 58
• D. 52

Answer 1

The correct option is A 68

$\frac{52}{x}=\sqrt{\frac{169}{289}}\Rightarrow \frac{52}{x}=\frac{\sqrt{169}}{\sqrt{289}}\Rightarrow \frac{52}{x}=\frac{13}{17}\Rightarrow x=\frac{52\times 17}{13}=\frac{884}{13}=68$